Finding the Third Proportional to 106,357.50 and 164,664.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,357.50 : 164,664.50 = 164,664.50 : x
2. Step 2: Convert to fraction form
   106,357.50/164,664.50 = 164,664.50/x
3. Step 3: Cross multiply
   106,357.50x = 164,664.50 × 164,664.50
4. Step 4: Simplify right side
   106,357.50x = 27,114,397,560.25
5. Step 5: Solve for x
   x = 27,114,397,560.25/106,357.50
6. Step 6: Final answer
   x = 254,936.39